kudu

Popular questions and responses by kudu
1. math

Triangle APQ is the image of ABC under a dilation centered at vertex A with scale factor ½. Triangle RBT is the image of ABC under a dilation centered at vertex B with scale factor ¾ . Which statement about ABC , APQ , and RBT is correct? none of the

2. math

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9. What is the length diagonal of the screen, to the nearest whole inch.

3. math

A quantity T is partly constant and partly varies as the square root of s. a) Using constant a and b, write down an equation connecting T and S. b) If S = 16, and when T = 24 and S = 36 when T = 32, find the value of the constants a and b.

4. math

A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters.

5. math

A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point where x = 4. Find the equation for L2 in the form of y = mx + c

6. math

Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.

7. math

The given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?

8. math

A cylindrical piece of wood of radius 4.2 cm and length 150 cm is cut length rise into two equal pieces. Calculate the surface area of one piece

9. math

A salesman gets a commission of 2.4% on sales up to Shillings 100,000. He gets an additional commission of 1.5% on sales above this. Calculate the commission he gets on sales wroth shillings 280,000. 100000(.024) + 0.015(280000 - 100000) 2400 + 2700 5100

10. math

A fruitier bought 144 pineapples at \$10 for every six pineapples. Sh sold some of them at \$12 for every three and the rest at \$6 for every two. If she made a 65% profit, calculate the number of pineapples sold at \$12 for every three

11. math

A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere.

12. math

Octagon PQRSTVWZ is a regular octagon with the center at point C. Which transformation will map octagon PQRSTVWZ onto itself?

13. math

A solid cone of height 12cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere. cone V= 1/3 pi r^2 h sphere V= 4/3 pi r^3 area of sphere = 4r^2 how to find sphere of radius?

14. Math

Evaluate 6 log2 ∛64 +10log3 (243)^1/5)

15. math

A group of people planned to contribute equally towards a water project which needed Ksh 200,000 to complete, however, 40 members of the group without from the project. As a result, each of the remaining members was to contribute Kshs 2,500. (a) Find the

16. math

A point is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle elevation of the top of the bottom of the window is 300 and the angle elevation of the top of the widow is 350. Calculate the vertical

17. math

A man who can swim at 5km/h in still water swims towards the east to cross arriver. If the river flows from north to south at the rate of 3km/h a) Calculate: i) The resultant speed ii) The drift b) If the width of the river is 30m, find the time taken, in

18. math

A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of liquid in the container.

19. math

A carpenter is constructing a triangular roof for a storage shed as shown in the figure. Part A isosceles triangle = 15 degrees and 15 degrees length of bas is 45 How high will the peaks of the rise above in the top of the shed? b/2 = 22.5 tan(15) = h/22.5

20. math

Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of liquid when full. The smaller container has internal cross- section area of 20cm^2. (a) Calculate the capacity of the smaller

21. math

A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.

22. math

A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another helicopter Buffalo left N for K at 11.00 a.m. Helicopter Buffalo traveled at an average speed of 20 km/h faster than Zebra. If both

23. math

square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters

24. math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

25. math

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b

26. math

The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

27. math

Water flows from a tap. At the rate 27cm3 per second, into a rectangular container of length 60cm, breathe 30 cm and height 40 cm. If at 6.00 p.m. the container was half full, what will be the height of water at 6.04 pm?

28. Math (help)

Mr. John has a dangerous relationship with a new type of Hot Cheetos Product, called Super Hot Cheetos Limon. He is so obsessed that he wants to cover his entire classroom floor in a 2-foot layer of Hot Cheetos and spend his whole summer break eating them.

29. math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?

30. math

The diagram shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What are the coordinates of the point P? these are points on graph M(-4, 4), N(6,-2)

31. math

A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. (a) Calculate the distance between the two islands (i) In nautical miles (ii) In kilometers (b) Calculate the speed of the

32. Math

Manyatta Village is 74 km North West of Nyangata Village. Chamwe village is 42 km west of Nyangata. find the bearing of Chamwe from Manyatta

33. math

In the year 2003, the population of a certain district was 1.8 million. Thirty percent of the population was in the age group 15-40 years. In the same year, 120,000 people in the district the Voluntary Counseling and Testing (VCT) contra for an HIV test.

34. math

Two points P and Q have coordinates (-2, 3) and (1, 3) respectively. A translation map point P to P’ (10, 10) (a) Find the coordinates of Q’ the image of Q under the translation (b) The position vector of P and Q in (a) above are p and q respectively

35. math

a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is 70 cm and is equal to the diameter of the top of the frustum. The frustum has a base diameter of 28 cm and slant height of 60

36. math

Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning bus ¾ of the way

37. math

Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning bus ¾ of the way

38. math

A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. Calculate the distance between the two islands In nautical miles In kilometers

39. math

Solve the equation: 2cos2θ = 1 for 0° ≤ θ ≤ 360. 2θ = cos-1(1/2) 2θ = 60° θ= 30,210 330

40. math

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

41. statistics

The water supply in a town depends entirely on two pumps. A and B. The probability of pump A filling is 0.1 and the probability of pump B failing is 0.2. Calculate the probability that (a) Both pumps are working (b) There is no water in the town (c) Only

42. math

The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of the polygon

43. math

A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the plate in centimeters

44. math

All prime numbers less than ten are arranged in descending order to form a Number. (a) Write down the number formed 2, 3, 5, 7 (b) State the total value of the second digit in the number formed in (a) above

45. math

The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.

46. math

The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm respectively. Find the percentage error in its perimeter.

47. math

The third and fifth term of an arithmetic progression are 10 and-10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = -10 -a -2d = -10 a + 4d = -10 2d = -20 d = -10 a + 2(-10) = 10 a -20 = 10 a = 30; d = -2 b)The

48. math

A businessman bought two bags of maize at the same price per bag. he discovered that one bag was of high quality and the other of low quality. On the high quality bag he made a profit by selling at \$ 1,040. Whereas on the low quality bag he made a loss by

49. math

Two baskets C and D each contain a mixture of oranges and lemons. Basket C contains 26 oranges and 13 lemons. Basket D contains 18 oranges and 15 lemons. A child selected basket at random and picked at random a fruit from it. Determine the probability that

50. math

A bus takes 195 minutes to travel a distance of (2x + 30) km at an average speed of (x – 20) km/h. Calculate the actual distance traveled.

51. math

Water gained heat at the rate of 12° Celsius per minute for 5 minutes. It was then allowed to lose heat at 4° Celsius per minute. If the temperature before heating was 22° Celsius, what was its temperature after 8 1/2 minutes?

52. math

Twenty-four 5-decilitre packets of milk were emptied into a 50-litre container. How many more such packets of milk were needed to fill the container?

53. math

Students contributed some money to help needy people. They bought twenty four 2-kg packets of ﬂour, thirty six 1-kg packets of ﬂour and a ﬁfty kilogram bag of sugar. The ﬂour was packed in 500 g packets and the sugar in 250 g packets. How many

54. math

Explain why it’s important to understand volume. Use a real-world example

55. math

Mr. John has a dangerous relationship with a new type of Hot Cheetos Product, called Super Hot Cheetos Limon. He is so obsessed that he wants to cover his entire classroom floor in a 2-foot layer of Hot Cheetos and spend his whole summer break eating them.

56. math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? someone can

57. Math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? I need help

58. Math

Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the length of YZ segment is 5:7. The coordinate of x is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z? Help help

59. Math

shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What are the coordinates of the point P? these are points on graph M(-4, 4), N(6,-2)

60. Math

Landscape is designing a display of flowers for an area in a public park. The flower seeds will be planted at points lie on a circle that has a diameter of 8 feet. The point where seed is planted must be at least 2 feet away from seeds on the either side

61. math

The cost of a minibus was Shilling 950,000. It depreciated in value by 5% per year for the first two years by 15% per year for the subsequent years. (a) Calculate the value of the minibus after years (b) After 5 years the minibus was sold through a dealer

62. math

There are two sign posts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 060° from A and a bearing of 330° from B. Calculate the shortest distance of the tree from the edge of the road.

63. math

An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in meters.

64. math

Kibet left school by bicycle at 8:00 a.m. and took 1 ½ hours to reach the market 20 km away. Akinyi left the school for the market by car at 8:30 a.m. The average speed of the car was 80 km /h. What was the difference between their arrival times?

65. math

The area of a square plot of land is 1156m2. The plot is to be fenced with three strands of wire. What is the length of the wire that is needed? Area = S2 √1156 = S S=34 P = 4s = 136 = 136(3) = 408

66. math

A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at the end of 30 minutes. What is the capacity of the tank in tank? =22.5 + 1.45(30) =22.5 +43.5 = 66 = 66 * 1000 = 66000 liters

67. math

David and John shared some money in the ratio 5:2 John received \$30 less than David. How much money did John get?

68. math

An open cylindrical tank has an internal diameter of 5.6 cm and an internal height of 4 cm. The inside of the tank was painted. What area of the tank in square centimeter, was painted?

69. math

Kibet left school by bicycle at 8:00 a.m. and took 1 ½ hours to reach the market 20 km away. Akinyi left the school for the market by car at 8:30 a.m. The average speed of the car was 80 km /h. What was the difference between their arrival times?

70. math

A plane flying at 200 knots left an airport A( 30° S, 31°E) and flew due North to an airport B( 30° N 31° E) (a) Calculate the distance covered by the plane, in nautical miles (b) After a 15 minutes stop over B, the plane flew west to an airport

71. math

In the year 2003, the population of a certain district was 1.8 million. Thirty percent of the population was in the age group 15-40 years. In the same year, 120,000 people in the district the Voluntary Counseling and Testing (VCT) contra for an HIV test.

72. math

Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning bus ¾ of the way

73. math

David bought a new car for shilling 800,000. After 5 years, he sold it through a second-hand car dealer. The dealer charged a commission of 4% for the sale of the car. If David received shilling 480,000, calculate the annual rate of depreciation of the

74. math

Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning bus ¾ of the way

75. math

Asha, Nangila and Cherop contributed shilling 60,000,shilling 85,000 and shilling 105 000 respectively. They agreed to put 25% of the profit back into business each year. They also agreed to put aside 40% of the remaining profit to cater for taxes and

76. math

Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of liquid when full. The smaller container has internal cross- section area of 20cm^2. (a) Calculate the capacity of the smaller

77. math

. If a fowl is treated, probability of dying is 1/10 while if not treated the probability is 7/10 calculate the probability that, a fowl picked at random from the 36 fowl is (i) Treated with the drug and will die (ii) Not treated with the drug and will die

78. math

P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c how to find missing

79. math

Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the bus from P, a trail also heading for Q left P. the trailer met the returning bus ¾ of the way

80. math

The acceleration, ams^-2, of a particle is given by a =25 – 9t^2, where t is in seconds after the particle passes fixed point O. If the particle passes O, with velocity of 4 ms^-1, find (a) An expression for velocity V, in terms of t (b) The velocity of

81. math

If A,B and C are the points P and Q are p and q respectively is another point with position vector r = 3q – ½ p. Express in terms of p and q. i) PR ii) RQ hence shows that P, Q and R are collinear. iii) Determine the ratio PQ: QR.

82. math

. A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27 knots. (a) Calculate the distance between the two islands (i) In nautical miles (ii) In kilometers (b) Calculate the speed of the

83. math

Two towns P and Q are 400 km apar. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one hour after the departure of the buse from P, a trail also heading for Q left P. the trailer meth the returning bus ¾ of the way

84. math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

85. math

The distance between towns M and N is 280 km. A car and a bus travel from M to N. The average speed of the bus is 20 km/h less than that of the car. The bus takes 1 h 10 min more than the car to travel from M and N. (a) If the speed of the bus x km/h ? car

86. math

Point T is the midpoint of a straight line AB. Given the position vectors of A and T are i - j + k and 2i + 1 ½ k respectively, find the position vector of B in terms of i, and k

87. math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

88. math

The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b

89. math

P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c

90. math

Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0 Find: cosx tanx

91. math

A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another helicopter Buffalo left N for K at 11.00 a.m. Helicopter Buffalo traveled at an average speed of 20 km/h faster than Zebra. If both

92. math

The Position of two A and B on the earth’s surface are (36°N, 49°E) and (36°N, 131°W ) respectively. (a) The difference in long between town A and town

93. math

A solid metal sphere of radius 4.2cm was melted and molten material used to make a cube. Find to 3 significant figures the length of the side of the cube.

94. math

Given that log y = log (10^n) solve for n.

95. math

A rally car traveled for 2 hours 40 minutes at an average of speed pf 120km/h. The car consumes an average of 1 liter of fuel for every 4 kilometers. A liter of the fuel costs shillings 59. Calculate the amount of money spent on fuel. Distance = 2 2/3h *

96. math

A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.

97. statistics

If a fowl is treated, probability of dying is 1/10 while if not treated the probability is 7/10 calculate the probability that, a fowl picked at random from the 36 fowl is (i) Treated with the drug and will die (ii) Not treated with the drug and will die

98. Math

The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.

99. math

The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm respectively. Find the percentage error in its perimeter.